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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 2006 E89-A(1):203-205; doi:10.1093/ietfec/e89-a.1.203
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Copyright © 2006 The Institute of Electronics, Information and Communication Engineers

Special Section on Cryptography and Information Security -- Letters -- Public Key Cryptography

A Cramer-Shoup Variant Related to the Quadratic Residuosity Problem

Harunaga HIWATARI1 and Keisuke TANAKA1

1 The authors are with the Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, 152-8552 Japan. E-mail: hiwatar1{at}is.titech.ac.jp, E-mail: keisuke{at}is.titech.ac.jp

At Eurocrypt '02, Cramer and Shoup [1] proposed a general paradigm to construct practical public-key encryption schemes secure against the adaptive chosen ciphertext attack as well as several concrete examples. One of these example is the scheme based on the quadratic residuosity (QR) problem. However this scheme is less efficient than the other examples. In this paper, we construct a new variant of the Cramer-Shoup encryption scheme which is related to the QR problem. Our variant is more efficient than the scheme based on the QR problem.

Key Words: encryption, semantically secure, quadratic residuosity


Manuscript received March 23, 2005. Final manuscript received June 9, 2005.


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